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Finding the Fourth Proportional to 57,471.60, 86,156.10 and 22,403.10

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Solution

The fourth proportional to 57,471.60, 86,156.10 and 22,403.10 is: 33,584.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,471.60 : 86,156.10 = 22,403.10 : x
  2. Step 2: Convert to fraction form
    57,471.60/86,156.10 = 22,403.10/x
  3. Step 3: Cross multiply
    57,471.60x = 86,156.10 × 22,403.10
  4. Step 4: Simplify right side
    57,471.60x = 1,930,163,723.91
  5. Step 5: Solve for x
    x = 1,930,163,723.91/57,471.60
  6. Step 6: Final answer
    x = 33,584.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.